dc.contributor.author | Grimholt, Chriss | |
dc.contributor.author | Skogestad, Sigurd | |
dc.date.accessioned | 2019-04-03T09:02:49Z | |
dc.date.available | 2019-04-03T09:02:49Z | |
dc.date.created | 2018-12-03T10:25:00Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Journal of Process Control. 2018, 70 36-46. | nb_NO |
dc.identifier.issn | 0959-1524 | |
dc.identifier.uri | http://hdl.handle.net/11250/2593081 | |
dc.description.abstract | The first-order plus delay process model with parameters k (gain), τ (time constant) and θ (delay) is the most used representation of process dynamics. This paper has three objectives. First, we derive optimal PI- and PID-settings for this process. Optimality is here defined as the minimum Integrated Absolute Error (IAE) to disturbances for a given robustness level. The robustness level, which is here defined as the sensitivity peak (Ms), may be regarded as a tuning parameter. Second, we compare the optimal IAE-performance with the simple SIMC-rules, where the SIMC tuning parameter τc is adjusted to get a given robustness. The “original” SIMC-rules give a PI-controller for a first-order with delay process, and we find that this SIMC PI-controller is close to the optimal PI-controller for most values of the process parameters (k, τ, θ). The only exception is for delay-dominant processes where the SIMC-rule gives a pure integrating controller. The third objective of this paper is to propose and study a very simple modification to the original SIMC-rule, which is to add a derivative time τd = θ/3 (for the serial PID-form). This gives performance close to the IAE-optimal PID also for delay-dominant processes. We call this the “improved” SIMC-rule, but we put “improved” in quotes, because this controller requires more input usage, so in practice the original SIMC-rule, which gives a PI-controller, may be preferred. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Optimal PI and PID control of first-order plus delay processes and evaluation of the original and improved SIMC rules | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 36-46 | nb_NO |
dc.source.volume | 70 | nb_NO |
dc.source.journal | Journal of Process Control | nb_NO |
dc.identifier.doi | 10.1016/j.jprocont.2018.06.011 | |
dc.identifier.cristin | 1638294 | |
dc.description.localcode | © 2018. This is the authors’ accepted and refereed manuscript to the article. Locked until 11 September 2020 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | nb_NO |
cristin.unitcode | 194,66,30,0 | |
cristin.unitname | Institutt for kjemisk prosessteknologi | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |